1 Introduction to Algebra: Using Variables
2 Basic Number Properties for Algebra
3 Algebraic Equations and Their Solutions
4 Algebraic Equations With Variables on Both Sides
5 Algebraic Word Problems
6 Solving Algebraic Inequalities
7 Square Roots, Cube Roots, and Other Roots
8 Simplifying Expressions With Roots and Exponents
9 Solving Algebraic Equations With Roots and Exponents
10 Introduction to Polynomials
11 Adding and Subtracting Polynomials
12 Multiplying Binomials by the FOIL Method
13 Solving Quadratics by Factoring
14 Solving Quadratics by Completing the Square
15 Solving Quadratics by Using the Quadratic Formula
16 Solving Higher-Degree Polynomials by Synthetic Division and the Rational Roots Test
17 Manipulating Rational Expressions: Simplification and Operations
18 Graphing in Algebra: Ordered Pairs and the Coordinate Plane
19 Graphing Lines in Algebra: Understanding Slopes and Y-Intercepts
20 Graphing Lines in Slope-Intercept Form (y = mx + b)
21 Graphing Lines in Standard Form (ax + by = c)
22 Graphing Parallel and Perpendicular Lines
23 Solving Systems of Two Equations and Two Unknowns: Graphing, Substitution, and Elimination
24 Absolute Values: Defining, Calculating, and Graphing
25 What are the Types of Numbers? Real vs. Imaginary, Rational vs. Irrational
26 Back to Algebra: What are Functions?
27 Manipulating Functions Algebraically and Evaluating Composite Functions
28 Graphing Algebraic Functions: Domain and Range, Maxima and Minima
29 Transforming Algebraic Functions: Shifting, Stretching, and Reflecting
30 Continuous, Discontinuous, and Piecewise Functions
31 Inverse Functions
32 The Distance Formula: Finding the Distance Between Two Points
33 Graphing Conic Sections Part 1: Circles
34 Graphing Conic Sections Part 2: Ellipses
35 Graphing Conic Sections Part 3: Parabolas in Standard Form
36 Graphing Conic Sections Part 4: Hyperbolas
37 Graphing Higher-Degree Polynomials: The Leading Coefficient Test and Finding Zeros
38 Graphing Rational Functions and Their Asymptotes
39 Solving and Graphing Polynomial and Rational Inequalities
40 Evaluating and Graphing Exponential Functions
41 Logarithms Part 1: Evaluation of Logs and Graphing Logarithmic Functions
42 Logarithms Part 2: Base Ten Logs, Natural Logs, and the Change-Of-Base Property
43 Logarithms Part 3: Properties of Logs, Expanding Logarithmic Expressions
44 Solving Exponential and Logarithmic Equations
45 Complex Numbers: Operations, Complex Conjugates, and the Linear Factorization Theorem
46 Set Theory: Types of Sets, Unions and Intersections
47 Sequences, Factorials, and Summation Notation
48 Theoretical Probability, Permutations and Combinations